Harish-Chandra integrals as nilpotent integrals

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dc.creatorBertola, M.
dc.creatorFerrer, A. Prats
dc.date2008-01-22
dc.date.accessioned2026-07-07T09:31:27Z
dc.date.available2026-07-07T09:31:27Z
dc.descriptionRecently the correlation functions of the so-called Itzykson-Zuber/Harish-Chandra integrals were computed (by one of the authors and collaborators) for all classical groups using an integration formula that relates integrals over compact groups with respect to the Haar measure and Gaussian integrals over a maximal nilpotent Lie subalgebra of their complexification. Since the integration formula a posteriori had the same form for the classical series, a conjecture was formulated that such a formula should hold for arbitrary semisimple Lie groups. We prove this conjecture using an abstract Lie-theoretic approach.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0801.3452
dc.identifierhttp://arxiv.org/abs/0801.3452
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158464
dc.subjectGroup Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleHarish-Chandra integrals as nilpotent integrals
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